This is a tutorial on the mathematical theory and process control applications of linear matrix
inequalities (LMIs) and bilinear matrix inequalities (BMIs). Many convex inequalities …

This paper presents a survey of the most significant results on robust control theory. In
particular, we study the modeling of uncertain systems, robust stability analysis for systems …

This paper addresses the optimal control problem known as the linear quadratic regulator in
the case when the dynamics are unknown. We propose a multistage procedure, called …

The basic topic of this book is solving problems from system and control theory using convex
optimization. We show that a wide variety of problems arising in system and control theory …

For both their theoretical and practical impact, time-delay systems have been an enduring
theme in the study of differential equations, stochastic processes, game theory, and systems …

Robustness of control systems to disturbances and uncertainties has always been the
central issue in feedback control. Feedback would not be needed for most control systems if …

Before using interval analysis as a basic tool in the following chapters, we shall now
introduce its main concepts. Section 2.2 recalls fundamental notions on set operators, set …

Research in robust control theory has been one of the most active areas of mainstream
systems theory since the late 70s. This research activity has been at the confluence of …

This paper proposes a new probabilistic solution framework for robust control analysis and
synthesis problems that can be expressed in the form of minimization of a linear objective …

The presence of uncertainty in a system description has always been a critical issue in
control. The main objective of Randomized Algorithms for Analysis and Control of Uncertain …